Content

The theory of heterogeneous materials, of which the micro- and mesomechanics of composites is a concrete example, is presented in a more general and fundamental way.
Introduction  2h
Definition of the heterogeneous media. Hierarchical structure of heterogeneity. Types of heterogeneity in polymer composites. Definition of RVE. Statistically representative and periodic RVE. Geometrical properties of typical RVEs. Definition of homogenisation. Overview of homogenisation techniques. Multi-scale modelling.
Eshelby theory of inclusions 4h
Eigenstrains. Elliptical inclusion in elastic medium (Eshelby solution)..
Applications of the method of inclusions 2h
Problem of anisotropic elastic inclusions in elastic matrix. Mori-Tanaka method. Self-consistent method. Applications: polycrystalline metals, ceramics, short fibre/particle reinforced composites, textile composites.
Asymptotic homogenisation methods  2h
Method of small parameter in elastic heterogeneous media. Fast and slow coordinates. Elasticity problem for micro scale. Applications: polycrystalline metals, ceramics, composites.
 

Course material

Study cost: 1-10 euros (The information about the study costs as stated here gives an indication and only represents the costs for purchasing new materials. There might be some electronic or second-hand copies available as well. You can use LIMO to check whether the textbook is available in the library. Any potential printing costs and optional course material are not included in this price.)

Lecture slides and selected literature (available on TOLEDO).